English

On the number of elementary submodels of an unsuperstable homogeneous structure

Logic 2008-02-03 v1

Abstract

We show that if M is a stable unsuperstable homogeneous structure, then for most kappa < |M|, the number of elementary submodels of M of power kappa is 2^kappa .

Keywords

Cite

@article{arxiv.math/9702228,
  title  = {On the number of elementary submodels of an unsuperstable homogeneous structure},
  author = {Tapani Hyttinen and Saharon Shelah},
  journal= {arXiv preprint arXiv:math/9702228},
  year   = {2008}
}